The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1
 0  9  0  0  0  0  0  0  0  0  9 18 18  9  9  9  0 18 18  9 18  9  9  9  9  9  9  0  0  0 18
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0 18 18  9 18  0  0  9 18  9 18  9  0  0
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9  0 18  9  9 18 18  9  9  9  9  9  9  9
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18 18  0 18 18  0  9 18  0  0  0  9 18  9
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9 18 18 18  9  0  0  0  9 18  0  0  9  9

generates a code of length 31 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+272x^54+486x^60+4374x^62+1252x^63+156x^72+18x^81+2x^90

The gray image is a code over GF(3) with n=279, k=8 and d=162.
This code was found by Heurico 1.16 in 76.6 seconds.